International Journal of Science and Research (IJSR)

International Journal of Science and Research (IJSR)
Since Year 2012 | Open Access | Fully Refereed | Peer Reviewed

ISSN: 2319-7064




Downloads: 146

Research Paper | Mathematics | Iraq | Volume 6 Issue 6, June 2017


Efficient Iterative Method for Initial and Boundary Value Problems Appear in Engineering and Applied Sciences

Majeed Ahmed AL-Jawary | Mustafa Mahmood Azeez


Abstract: The main aim and contribution of the current paper is to implement a semi-analytical iterative method proposed by Temimi and Ansari namely (TAM) to solve the Riccati, pantograph and elastic beam deformation equations, which appeared in models of various problems in engineering and applied sciences. The exact solutions are obtained for Riccati, Pantograph equations and an approximate solution for beam equation. The convergence of the TAM is investigated for the three problems. In general, the accuracy of our result for beam equation is better than those of Homotopy perturbation method (HPM) and Variational Iteration Method (VIM). The software used for the terms calculation in iterative process was MATHEMATICA 10.


Keywords: Differential equations, Riccati equation, Pantograph equation, Elastic beam deformation equations, Iterative method


Edition: Volume 6 Issue 6, June 2017,


Pages: 529 - 538

Efficient Iterative Method for Initial and Boundary Value Problems Appear in Engineering and Applied Sciences


How to Cite this Article?

Majeed Ahmed AL-Jawary, Mustafa Mahmood Azeez, "Efficient Iterative Method for Initial and Boundary Value Problems Appear in Engineering and Applied Sciences", International Journal of Science and Research (IJSR), https://www.ijsr.net/get_abstract.php?paper_id=ART20173765, Volume 6 Issue 6, June 2017, 529 - 538, #ijsrnet

How to Share this Article?

Enter Your Email Address




Similar Articles with Keyword 'Differential equations'

Downloads: 0

Research Paper, Mathematics, Kenya, Volume 10 Issue 7, July 2021

Pages: 635 - 638

Finite Difference Method Solution to Garlerkin's Finite Element Discretized Beam Equation

Hagai Amakobe James [2]

Share this Article

Downloads: 0

Research Paper, Mathematics, India, Volume 10 Issue 8, August 2021

Pages: 827 - 829

Hyers-Ulam-Rassias Stability of First Order Partial Differential Equation

V. P. Sonalkar [3]

Share this Article


Top